| Speaker: | Tianqing Zhu (Tsinghua University) |
|---|---|
| Title: | Quantum difference equations from shuffle algebras and MO quantum affine algebras of affine type A |
| Date (JST): | Tue, Oct 22, 2024, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: | Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference equations governed by the MO quantum affine algebras. In this talk we will show how to construct the similar quantum difference equation via the shuffle algebras. Then we will show how to use the monodromy data of these quantum difference equations to prove the isomorphism of the positive half of the MO quantum affine algebras of affine type A and the positive half of the quantum toroidal algebras. If time permits, I will also give a brief explanation on how to extend the proof to the general case. |
